100791936 has 192 divisors, whose sum is σ = 343699200. Its totient is φ = 27740160.

The previous prime is 100791869. The next prime is 100791949. The reversal of 100791936 is 639197001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100791936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233641 + ... + 234071.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^100791936 is an apocalyptic number.

100791936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

100791936 is an abundant number, since it is smaller than the sum of its proper divisors (242907264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100791936 is a wasteful number, since it uses less digits than its factorization.

100791936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 100791936 is about 10039.5187135639. The cubic root of 100791936 is about 465.3809434697.

The spelling of 100791936 in words is "one hundred million, seven hundred ninety-one thousand, nine hundred thirty-six".